Each number except 279 is a multiple of 11.

Pattern is 1st x 2nd = 3rd; 2nd x 3rd = 4th, 3rd x 4th = 5th. But 4th x 5th = 50 x 500 = 25000 ? 5000 = 6th.

Number are 1³, 2³, 3³, 4³, 5³, 6³.

So, the missing number is 7³ = 343.

Each number is the preceding number multiplied by - 2. So, the required number is - 128.

Prime numbers 2, 3, 5, 7, 11, 13 have successively been subtracted. So, 100 is wrong. It must be (108 - 11) i.e., 97.

Prime number 2, 3, 5, 7, 11, 13 are to be added successively. So, 165 is wrong.

Subtract 1, 3, 5, 7, 9, 11 from successive numbers. So, 34 is wrong.

The difference between consecutive terms are respectively. 5, 7, 9, 11 and 13. So, 34 is a wrong number.

Go on multiplying the given numbers by 2, 3, 4, 5, 6. So, the correct next number is 1440.

The pattern is 1 x 2, 2 x 3, 3 x 4, 4 x 5, 5 x 6, 6 x 7, 7 x 8. So, the next number is 8 x 9 = 72.